Statistics Practice Questions
Matric (South Africa) · Matric Mathematics · 143 free MCQs with instant results and detailed explanations.
143
Total
47
Easy
72
Medium
24
Hard
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Sample Questions from Statistics
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Q1
Easy
What is the mode of the following data set: 3, 7, 8, 3, 5, 3, 2, 6?
A.
3
B.
5
C.
7
D.
8
Show Answer & Explanation
Correct Answer: A
The mode is the number that appears most frequently in a data set. In this case, 3 appears three times, which is more than any other number.
Q2
Easy
If the mean of five numbers is 20, what is the sum of those numbers?
A.
100
B.
80
C.
50
D.
60
Show Answer & Explanation
Correct Answer: A
The mean is calculated by dividing the sum of the numbers by the count of numbers. Here, if the mean is 20 for 5 numbers, the sum is 20 * 5 = 100.
Q3
Easy
A class's test scores are as follows: 82, 76, 91, 85, 78. What is the median score?
A.
85
B.
82
C.
78
D.
76
Show Answer & Explanation
Correct Answer: A
To find the median, the scores must be ordered: 76, 78, 82, 85, 91. The median is the middle score, which is 85 in this ordered list.
Q4
Medium
A class of 30 students has the following test scores: 65, 70, 75, 80, 85, 90, 95, 70, 75, 80, 90, 85, 80, 80, 75, 70, 65, 80, 85, 90, 75, 70, 80, 75, 85, 90, 95, 70, 80, 75. What is the mode of these scores?
A.
80
B.
75
C.
90
D.
85
Show Answer & Explanation
Correct Answer: A
The mode is the score that occurs most frequently. In the given data, the score 80 appears the most often, making it the mode.
Q5
Medium
In a survey, the ages of 10 participants were recorded as follows: 22, 25, 23, 29, 24, 30, 28, 27, 26, 21. What is the mean age of the participants?
A.
24.5
B.
25.5
C.
26.0
D.
27.0
Show Answer & Explanation
Correct Answer: B
To find the mean, sum all the ages (22 + 25 + 23 + 29 + 24 + 30 + 28 + 27 + 26 + 21 = 255) and divide by the number of participants (10). The mean is 255 / 10 = 25.5.
Q6
Medium
A teacher records the number of hours students spend on homework each week. The following data is collected: 2, 3, 5, 2, 4, 3, 5, 4, 2. What is the range of these hours?
A.
3
B.
4
C.
5
D.
2
Show Answer & Explanation
Correct Answer: A
The range is calculated as the difference between the maximum and minimum values. The maximum is 5 and the minimum is 2. Therefore, the range is 5 - 2 = 3.
Q7
Medium
A researcher collects data on the number of books read by students in a month and finds a standard deviation of 3. What does this standard deviation indicate about the data?
A.
The data is highly consistent.
B.
The data is dispersed around the mean.
C.
The data is normally distributed.
D.
The data has no variability.
Show Answer & Explanation
Correct Answer: B
A standard deviation of 3 indicates that the data points tend to deviate from the mean by an average of 3 units, implying variability and dispersion in the data.
Q8
Hard
A class of 40 students has the following test scores: 35, 42, 38, 45, 50, 37, 49, 40, 44, 30, 45, 38, 39, 36, 45, 41, 50, 48, 39, 47, 45, 42, 41, 43, 46, 37, 49, 45, 38, 44, 50, 36, 35, 37, 40, 42, 38, 45, 50, 44. What is the mode of the test scores?
A.
45
B.
50
C.
40
D.
38
Show Answer & Explanation
Correct Answer: A
The mode is the value that appears most frequently in a data set. In this case, the score 45 appears 6 times, more than any other score.
Q9
Hard
In a survey, the ages of a group of 10 individuals were recorded as follows: 22, 29, 34, 31, 28, 30, 35, 26, 32, 27. What is the variance of the ages?
A.
8.2
B.
5.5
C.
9.6
D.
7.4
Show Answer & Explanation
Correct Answer: C
Variance is calculated by finding the average of the squared differences from the mean. For these ages, the variance comes out to be 9.6.
Q10
Hard
A dataset consists of the following ages of a group of people: 22, 25, 28, 30, 32, 35, 35, 38, 40. What is the median age of this group?
A.
30
B.
32
C.
35
D.
28
Show Answer & Explanation
Correct Answer: B
To find the median, we need to arrange the ages in ascending order and find the middle value. The ordered dataset is 22, 25, 28, 30, 32, 35, 35, 38, 40. With 9 values, the median is the 5th value, which is 32.
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Statistics — Matric (South Africa) Matric Mathematics Practice Questions Online
This page contains 143 practice MCQs for the chapter Statistics in Matric (South Africa) Matric Mathematics. The questions are organized by difficulty — 47 easy, 72 medium, 24 hard — so you can choose the right level for your preparation.
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